The temperature 𝑇

, in celsius, of an object in an oven is a function of the time 𝑡
, in minutes, since the object has been in the oven. So we have 𝑇=𝑓(𝑡)
.

[In this question, we will use 𝑐
for celsius and 𝑚
for minutes.]

Suppose 𝑓(10)=60
and 𝑓′(10)=2.5
.

What are the units of the 2.5
?

The units of 2.5 are 𝑐/𝑚, as it represents the rate of change of temperature with respect to time, in celsius per minute.